Question

1. A professional basketball used for league play has a diameter of 25 cm. Which of the following is closest to the volume of the basketball in cubic centimeters?​

Answer 1

V = 8,181.23
`cm^(3)`

Explanation:

Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...

V =
`(4)/(3) * \pi * r^(3)`

radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.

V =
`(4)/(3) * \pi * 12.5^(3)`

V =
`(4)/(3) * \pi * 1953.125`

V = 8,181.23
`cm^(3)`